在Python中将多项式转换为Hermite_e级数

要将多项式转换为Hermite级数，可以使用Python Numpy中的hermite_e.poly2herme()方法。将表示多项式系数的数组按照从最低到最高的顺序排序，转换为表示等效Hermite级数系数的数组，按照从最低到最高的顺序排序。该方法返回一个包含等效Hermite级数系数的一维数组。参数pol是一个包含多项式系数的一维数组。

步骤

首先，导入所需的库 –

import numpy as np
from numpy.polynomial import hermite_e as H

使用numpy.array()方法创建一个数组 –

c = np.array([1, 2, 3, 4, 5])

显示数组 –

print("Our Array...\n",c)

检查尺寸−

print("\nDimensions of our Array...\n",c.ndim)

获取数据类型 –

print("\nDatatype of our Array object...\n",c.dtype)

获得形状 –

print("\nShape of our Array object...\n",c.shape)

将多项式转化为Hermite序列，使用Python Numpy中的hermite_e.poly2herme()方法。将表示多项式系数的数组从最低到最高的次序，转化为等效的Hermite序列的系数数组，按照从最低到最高次序排列。

print("\nResult (polynomial to hermite_e)...\n",H.poly2herme(c))

示例

import numpy as np
from numpy.polynomial import hermite_e as H

# Create an array using the numpy.array() method
c = np.array([1, 2, 3, 4, 5])

# Display the array
print("Our Array...\n",c)

# Check the Dimensions
print("\nDimensions of our Array...\n",c.ndim)

# Get the Datatype
print("\nDatatype of our Array object...\n",c.dtype)

# Get the Shape
print("\nShape of our Array object...\n",c.shape)

# To convert a polynomial to a Hermite series, use the hermite_e.poly2herme() method in Python Numpy
print("\nResult (polynomial to hermite_e)...\n",H.poly2herme(c))

输出

Our Array...
   [1 2 3 4 5]

Dimensions of our Array...
1

Datatype of our Array object...
int64

Shape of our Array object...
(5,)

Result (polynomial to hermite_e)...
   [19. 14. 33. 4. 5.]